• 제목/요약/키워드: SVD(singular value decomposition)

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비최소 위상을 갖는 외팔보에서 SVD를 이용한 역변환 문제에 관한 연구 (A Study on the Application of SVD to an Inverse Problem in a Cantilever Beam with a Non-minimum Phase)

  • 이상권;노경래;박진호
    • 한국소음진동공학회논문집
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    • 제11권9호
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    • pp.431-438
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    • 2001
  • This paper present experimental results of source identification for non-minimum phase system. Generally, a causal linear system may be described by matrix form. The inverse problem is considered as a matrix inversion. Direct inverse method can\`t be applied for a non-minimum phase system, the reason is that the system has ill-conditioning. Therefore, in this study to execute an effective inversion, SVD inverse technique is introduced. In a Non-minimum phase system, its system matrix may be singular or near-singular and has one more very small singular values. These very small singular values have information about a phase of the system and ill-conditioning. Using this property we could solve the ill-conditioned problem of the system and then verified it for the practical system(cantilever beam). The experimental results show that SVD inverse technique works well for non-minimum phase system.

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A damage localization method based on the singular value decomposition (SVD) for plates

  • Yang, Zhi-Bo;Yu, Jin-Tao;Tian, Shao-Hua;Chen, Xue-Feng;Xu, Guan-Ji
    • Smart Structures and Systems
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    • 제22권5호
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    • pp.621-630
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    • 2018
  • Boundary effect and the noise robustness are the two crucial aspects which affect the effectiveness of the damage localization based on the mode shape measurements. To overcome the boundary effect problem and enhance the noise robustness in damage detection, a simple damage localization method is proposed based on the Singular Value Decomposition (SVD) for the mode shape of composite plates. In the proposed method, the boundary effect problem is addressed by the decomposition and reconstruction of mode shape, and the noise robustness in enhanced by the noise filtering during the decomposition and reconstruction process. Numerical validations are performed on plate-like structures for various damage and boundary scenarios. Validations show that the proposed method is accurate and effective in the damage detection for the two-dimensional structures.

Noise Suppression of NMR Signal by Piecewise Polynomial Truncated Singular Value Decomposition

  • Kim, Daesung;Youngdo Won;Hoshik Won
    • 한국자기공명학회논문지
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    • 제4권2호
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    • pp.116-124
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    • 2000
  • Singular value decomposition (SVD) has been used during past few decades in the advanced NMR data processing and in many applicable areas. A new modified SVD, piecewise polynomial truncated SVD (PPTSVD) was developed far the large solvent peak suppression and noise elimination in U signal processing. PPTSVD consists of two algorithms of truncated SVD (TSVD) and L$_1$ problems. In TSVD, some unwanted large solvent peaks and noises are suppressed with a certain son threshold value while signal and noise in raw data are resolved and eliminated out in L$_1$ problem routine. The advantage of the current PPTSVD method compared to many SVD methods is to give the better S/N ratio in spectrum, and less time consuming job that can be applicable to multidimensional NMR data processing.

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SVD Pseudo-inverse를 이용한 영상 재구성 (SVD Pseudo-inverse and Application to Image Reconstruction from Projections)

  • 심영석;김성필
    • 대한전자공학회논문지
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    • 제17권3호
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    • pp.20-25
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    • 1980
  • Singular value decomposition을 통한 pseudo-inverse를 단층영상 재구성에 이용하였다. 본 논문에서는 SVD pseudo-inverse를 이용한 truncated inverse filter와 Scalar Wiener filter에 대하여 검토하고 각각에 대하여 통계적 측면에서의 최적화가 연구되었다. 이러한 방법은 신호와 잡음문에 trade-off를 기함으로써 재구성 문제에 항상 뒤따르는 ill-conditioning 현상을 극복할 수 있다. 본 논문을 통하여 구성된 filter의 성능을 확인하기 위하여 컴퓨터를 이용한 simulation이 이루어졌으며 그 결과 재구성된 협상은 만족할 만 하였다.

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Applications of Block Pulse Response Circulant Matrix and its Singular Value Decomposition to MIMO Control and Identification

  • Lee, Kwang-Soon;Won, Wan-Gyun
    • International Journal of Control, Automation, and Systems
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    • 제5권5호
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    • pp.508-514
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    • 2007
  • Properties and potential applications of the block pulse response circulant matrix (PRCM) and its singular value decomposition (SVD) are investigated in relation to MIMO control and identification. The SVD of the PRCM is found to provide complete directional as well as frequency decomposition of a MIMO system in a real matrix form. Three examples were considered: design of MIMO FIR controller, design of robust reduced-order model predictive controller, and input design for MIMO identification. The examples manifested the effectiveness and usefulness of the PRCM in the design of MIMO control and identification. irculant matrix, SVD, MIMO control, identification.

Large Solvent and Noise Peak Suppression by Combined SVD-Harr Wavelet Transform

  • Kim, Dae-Sung;Kim, Dai-Gyoung;Lee, Yong-Woo;Won, Ho-Shik
    • Bulletin of the Korean Chemical Society
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    • 제24권7호
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    • pp.971-974
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    • 2003
  • By utilizing singular value decomposition (SVD) and shift averaged Harr wavelet transform (WT) with a set of Daubechies wavelet coefficients (1/2, -1/2), a method that can simultaneously eliminate an unwanted large solvent peak and noise peaks from NMR data has been developed. Noise elimination was accomplished by shift-averaging the time domain NMR data after a large solvent peak was suppressed by SVD. The algorithms took advantage of the WT, giving excellent results for the noise elimination in the Gaussian type NMR spectral lines of NMR data pretreated with SVD, providing superb results in the adjustment of phase and magnitude of the spectrum. SVD and shift averaged Haar wavelet methods were quantitatively evaluated in terms of threshold values and signal to noise (S/N) ratio values.

문서분류에서 SVD(Singular Value Decompotion)기법에 기초한 효율적인 특징 선택방법 연구 (An Efficient Selection Method for Document Classification Based On Singular Value Decompostion)

  • 리청화;변동률;박순철
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2009년도 추계학술발표대회
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    • pp.321-322
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    • 2009
  • 본 논문에서는 문서분류를 위하여 SVD(Singular Value Decomposition)을 이용한 효율적인 특징 선택 방법을 제안한다. 분류기 알고리즘은 문서를 효과적으로 분류할 수 있지만 분류기에 입력되는 특징공간이 너무 크다는 단점이 있다. SVD를 이용하면 입력 데이터의 차원을 줄여줄 수 있으며 문서와 문서 사이의 관계성을 내포하는 벡터공간을 만들 수 있다. 따라서 SVD를 이용하면 문서분류의 시간과 효율을 동시에 증가시킬 수 있다. 본 논문에서는 실험을 통하여 SVD을 이용한 문서분류 시스템이 입력데이터에 대한 차원을 감소시키면서 훌륭한 분류 결과를 얻을 수 있음을 보여준다.

특이값 분해를 이용한 라만 스펙트럼 고속 탐색 알고리즘 (A Fast Search Algorithm for Raman Spectrum using Singular Value Decomposition)

  • 서유경;백성준;고대영;박준규;박아론
    • 한국산학기술학회논문지
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    • 제16권12호
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    • pp.8455-8461
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    • 2015
  • 본 논문에서는 라만 스펙트럼의 고속 탐색을 위해 특이값 분해(SVD, Singular Value Decomposition)를 이용한 새로운 탐색 알고리즘들을 제안한다. 제안 알고리즘에서는 SVD를 통해 얻은 특이벡터를 중요도에 따라 선별하여 실험에 사용함으로써 계산량 단축을 도모한다. 파일럿 테스트(Pilot test)를 수행하여 일부 데이터들을 미리 탐색 대상에서 제외시키고 부분탐색법(PDS, Partial Distance Search)을 적용하여 탐색을 수행함으로써 큰 폭으로 계산량을 감소시킨다. 실험에 사용한 데이터베이스는 총 14,032종의 화학 물질 라만 스펙트럼으로 구성하였으며, 기존의 탐색 방법인 전체탐색법(Full Search), PDS와 평균피라미드탐색법(MPS, Mean Pyramid Search)를 1차원공간상의 신호에 적용하기 적절하게 변형한 1DMPS에 PDS를 적용한 실험(1DMPS+PDS), 데이터의 분산을 내림차순 정렬하여 !DMPS와 PDS를 적용한 실험(1DMPS Sort with Variance+PDS), 데이터의 250차원 성분만 SVD 변환하여 PDS를 적용한 실험(250SVD+PDS), 그리고 제안 알고리즘 PSP(Partial SVD with PDS)와 PSSP(Partial SVD with Sorted Pilot test)을 적용한 실험을 비교 분석하였다. 각 알고리즘의 성능은 곱셈 및 덧셈의 연산량 비교를 통해 이루어졌는데, 실험 결과에 따르면 250SVD+PDS에 비해 제안알고리즘 PSP는 15.7%, PSSP에서는 64.8%의 계산량 감소를 확인하였다.

특이치 분해를 이용한 중복 센서의 EDI 기법과 성능 분석 (Fault Detection and Isolation using Singular Value Decomposition for Redundant Sensors System)

  • 심덕선;양철관
    • 제어로봇시스템학회논문지
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    • 제10권4호
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    • pp.364-370
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    • 2004
  • In this paper, we propose a FDI method, which comes from singular value decomposition of measurement matrix fur redundant sensors. We analyze the performance of the proposed FDI method by comparing with the GLT method in two ways such as FDI performance and GN&C performance. Also, we propose a GN&C performance index by combining FDI and GN&C performance.

A Robust and Removable Watermarking Scheme Using Singular Value Decomposition

  • Di, Ya-Feng;Lee, Chin-Feng;Wang, Zhi-Hui;Chang, Chin-Chen;Li, Jianjun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권12호
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    • pp.5268-5285
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    • 2016
  • Digital watermarking techniques are widely applied to protect the integrity and copyright of digital content. In a majority of the literature for watermarking techniques, the watermarked image often causes some distortions after embedding a watermark. For image-quality-concerned users, the distortions from a watermarked image are unacceptable. In this article, we propose a removable watermarking scheme that can restore an original-like image and resist signal-processing attacks to protect the ownership of an image by utilizing the property of singular value decomposition (SVD). The experimental results reveal that the proposed scheme meets the requirements of watermarking robustness, and also reestablishes an image like the original with average PSNR values of 59.07 dB for reconstructed images.